2019-11 Smallest prime

Find the smallest prime number \( p \geq 5 \) such that there exist no integer coefficient polynomials \( f \) and \( g \) satisfying
\[
p | ( 2^{f(n)} + 3^{g(n)})
\]
for all positive integers \( n \).

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2019-11 Smallest prime, 3.8 out of 5 based on 5 ratings